國中資優數學之圓的探討

The Study of Gifted Mathematics in Some Courses of Circle in Junior High School

侯雅芸(Ya-Yun Hou)

指導教授 ： 王牧民

中原大學/理學院/應用數學研究所/碩士(2014年)

https://doi.org/10.6840/cycu201400174

摘要

本研究旨在解決國中數學資優生的特殊學習需求，在普通常態班級中常被忽視的問題。故以國中數學領域課綱範圍為基礎，編寫國中資優數學之圓的教材，讓教師能藉由教材使資優生能體會到數學問題的本質，並提供其多樣化的解題方法，培養學生創造思考的能力，並提升學習興趣。大綱如下：
一、國中資優數學教育之圓的教材，能讓學生不斷思考解題策略，在驗證答案的過程中，培養其分析圖形與多元思考的能力。
二、研究者就「圓的對稱性、圓的切線、圓與多邊形、圓的相關角度、圓冪定理」來做思維統整。

關鍵字

圓 ； 資優數學

並列摘要

This study aims to solve the problem of the mathematically gifted junior high school students’ special learning needs, which is usually neglected in regular classes. Based on Mathematics Learning Area in Grade 1-9 Curriculum, teaching materials on the circle for these students were designed to make them understand the essence of mathematics questions. In addition, the teaching materials provided the students with various ways to solve mathematics questions, developed students' creative thinking ability, and further increased their interest in learning mathematics.
The contents in brief are as follows:
1. The teaching materials of circle allowing students to continue to think about problem-solving strategies, in answer validation process, to develop their ability to analyze graphics and diverse thinking.
2. Researchers on the " the symmetry of circle, the tangent line of circle, circle and polygon, circle the relevant angle, power of a point theorem " to do thinking integration.

並列關鍵字

circle ； gifted mathematics

參考文獻

郭靜姿(2000)。資優學生的特質。網址：

劉貞宜(2000)。數學資優生的解題歷程分析。國立臺灣師範大學特殊教育研究所論文。

NJ：Lawrence Erlbaum Associates.

Renzulli,J S.(1978).What makes giftedness：Reexamining a definition.Phi Delta Kappan,60,180-184.

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